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Definition df-i1p 6929
Description: Define the positive real constant 1. This is a "temporary" set used in the construction of complex numbers and is intended to be used only by the construction. (Contributed by Jim Kingdon, 25-Sep-2019.)
Assertion
Ref Expression
df-i1p 1P = ⟨{𝑙𝑙 <Q 1Q}, {𝑢 ∣ 1Q <Q 𝑢}⟩
Distinct variable group:   𝑢,𝑙

Detailed syntax breakdown of Definition df-i1p
StepHypRef Expression
1 c1p 6754 . 2 class 1P
2 vl . . . . . 6 setvar 𝑙
32cv 1284 . . . . 5 class 𝑙
4 c1q 6743 . . . . 5 class 1Q
5 cltq 6747 . . . . 5 class <Q
63, 4, 5wbr 3811 . . . 4 wff 𝑙 <Q 1Q
76, 2cab 2069 . . 3 class {𝑙𝑙 <Q 1Q}
8 vu . . . . . 6 setvar 𝑢
98cv 1284 . . . . 5 class 𝑢
104, 9, 5wbr 3811 . . . 4 wff 1Q <Q 𝑢
1110, 8cab 2069 . . 3 class {𝑢 ∣ 1Q <Q 𝑢}
127, 11cop 3425 . 2 class ⟨{𝑙𝑙 <Q 1Q}, {𝑢 ∣ 1Q <Q 𝑢}⟩
131, 12wceq 1285 1 wff 1P = ⟨{𝑙𝑙 <Q 1Q}, {𝑢 ∣ 1Q <Q 𝑢}⟩
Colors of variables: wff set class
This definition is referenced by:  1pr  7016  1prl  7017  1pru  7018  addnqpr1  7024  caucvgsr  7250  pitonnlem1  7285  recidpipr  7296  nntopi  7332
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